With the advent of the LHC, new precision experiments, and new facilities for neutrino and dark matter physics it is now possible to determine very precisely the properties of elementary particles. This new sensitivity presents a new theoretical challenge. Conventional tools to study particle physics phenomenology are often limited to either perturbation theory or models. But to fully capture all phenomena of particle physics requires to understand all aspects of a theory.

Using modern field-theretical tools like numerical simulations and functional methods, genuine non-perturbative aspects of particle physics are studied. The aim is, of course, to make definite predictions for experiments. Currently, the main focus is on the Higgs sector of the standard model, but also new strongly-interacting physics beyond the standard model, like technicolor, or quantum gravity are investigated. Of course, this requires to fully understand also the foundations of modern particle physis theories.